The proof of Proposition REF  is almost identical to the proof of proposition 1 in [1]}, so it is omitted.
The only difference is that one uses the conjugate exponents \(p = \tfrac{1}{k-1}\)  and \(q = \tfrac{1}{2-k}\) , and then one multiplies the resulting inequality by \(|\zeta ^{\prime }(s)|^2\)  or \(|Z^{\prime }(t)|^2\) .
This reduces the proof of Proposition REF  to the calculation of two types of twisted moments.
